Abbasi Education network
Abbasi Education network
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Lec#2 Relations & it's Types with Examples// PPSC Mathematics Lecture Series//
This lecture completely cover the topic Relations & it's types, it contains followings points...
1. Cartesian Product of sets.
i) For Two Sets
ii) For Three Sets
iii) For "n" sits
2. Relations:
i. Definition.
ii. Operations on relations that are, union, intersection, complement
inverse, product and identity ..
iii. Types of Relations i.e
a) Symmetric.
b) Reflexive.
c) Transitive
d) Anti-symmetric
e) Equivalence Relations
3. Equivalence class of an element under Relation
Переглядів: 203

Відео

" PPSC Mathematics Lecture Series"// Lec#01 Basic Concepts of Set Theory//
Переглядів 3124 роки тому
This Lectures deals with the root map to cover all the syllabus of lectureships. First lecture "Basic Concepts of Set theory" deals with the followings points 1. Sets, Description of sets, subsets and its types , power sets and order of a set. 2. Sets Operations i.e. Union, Intersections, Difference and Complements, Symmetric Difference and Partition of a set. 3. Fundamentals properties of Set ...
3rd Isomorphism Theorem of Module//Lecture#8 module theory//
Переглядів 2,7 тис.4 роки тому
this lecture discuss the statement and comprehensive proof of 3rd Isomorphism Theorem of Module.
2nd Isomorphism Theorem of Module//Lecture#7 module theory//
Переглядів 3,3 тис.4 роки тому
this lecture briefly discuss the statement and step by step proof of 2nd Isomorphism Theorem of Module.
First theorem of isomorphism OR fundamental theorem of isomorphism// lecture# 6 module theory//
Переглядів 2,7 тис.4 роки тому
this lecture discuss the concept of Module isomorphism with details. And proof of First isomorphism theorem or Fundamental theorem of Isomorphism.
Monomorphism in Module//lecture# 5 module theory//
Переглядів 3764 роки тому
This lecture discuss in detail the concept of Monomorphism in module and it's important theorem.
Module Homomorphism, Kernel and image of Homomorphism//Lecture# 4 module theory//
Переглядів 3 тис.4 роки тому
This is the fifth lecture of module theory, in this lecture following points are discussed in detail. 1. concept of Module Homomorphism with example. 2. Basic properties of module Homomorphism. 3. kernel of Homomorphism and proof of kernel is submodule of M. 4. Image of Homomorphism and proof of Image is submodule of N.
Submodule it's union and Intersection// lec#3 module theory//
Переглядів 2,9 тис.4 роки тому
this lecture deals with following points. 1. concept of submodule. 2. theorem of submodule. 3.example of submodule. 4. intersection of submodules. 5. Union of submodule.
Composition & Inverse of Function// lec# 3 , unit # 1, Ex# 1.2 complete sol. 2nd year Mathematics//
Переглядів 384 роки тому
This lacture deals with following points. 1. Concept of composition of Function, it's example. 2. Inverse of Function with example. 3. Domain and Range of inverse Function. 4. Complete solution of Ex # 1.2
Quotient Module// lac#2 module theory//concept of quotient Module and it's proof//
Переглядів 2,2 тис.4 роки тому
Definition of Quotient Module along with it's proof. Also proof of theorem that every right module is left module in case of commuattive ring.
Concept of Module & Important examples of module// Lac#1 of theory of Module
Переглядів 5974 роки тому
This lacture breafly discuss definition of module, also left and right module their difference, and important example of module with proof.
Types of function & Ex# 1.1 complete solution//Lac#2 // 2nd year Mathematics.
Переглядів 604 роки тому
This lacture cover very important types of functions i.e. 1. Algebraic function. 2. Trigonometric function. 3. Inverse trigonometric function. 4. Exponential function. 5. Logarithmic function. 6. Hyperbolic function. 7. Inverse hyperbolic function. 8. Explicit function. 9. Implicit function. 10. Even function. 11. Odd function. Also include complete solution of Ex 1.1
Function it's Domain & Range// Lacture#1//2nd year Mathematics//Unit #1 Ex# 1.1//
Переглядів 684 роки тому
I this lacture I breafly discuss following points. 1. Concept of " Depends of one quantity on another" 2. Variables and it's types. 3. Function it's concept and example. 5. Domain and Range of function with example.
How to tackle AGE problems.
Переглядів 3734 роки тому
Easy and tricky way to find the solution of age problem.
Concept of rational and irrational numbers.
Переглядів 324 роки тому
Concept of rational and irrational numbers.
Proof of √2 is irrational number.
Переглядів 464 роки тому
Proof of √2 is irrational number.

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